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Two point charges are placed as follows: charge q1 = -1.50 nC is at y = +6.00 m and charge
q2 = +3.20 nC is at the origin. What is the total force (magnitude and direction) exerted by
these two charges on a negative point charge q3 = -5.00 nC located at (2.00 m, -4.00 m)?
Two point charges are placed as follows: charge q1 = -1.50 nC is at y = +6.00 m and charge
q2 = +3.20 nC is at the origin. What is the total force (magnitude and direction) exerted by
these two charges on a negative point charge q3 = -5.00 nC located at (2.00 m, -4.00 m)?
A 55000.kg truck rounds a 38.0 m radius curve at 62.0km/h. Find how much centripetal force must be supplied by friction with the road to keep the truck from from slipping
How many seconds would it take for a 4.50kW motor to raise a 175.kg boiler to a height of 15.0 m?
The airspeed of a small plane is 130 km/h. The wind is
blowing at 86 km/h [S 200E].
Determine the velocity of the plane relative to the ground if the pilot keeps the plane aimed in the direction of [N 350 W]
Given the vectors 𝐴⃗=5𝑖̂+3𝑗̂+𝑘̂ and 𝐵⃗⃗=−3𝑖̂+2𝑗̂−4𝑘̂, find the following:
• 𝐴⃗ ∙ 𝐵⃗
• Angle between vector A and B
• 𝐴⃗ 𝑥 𝐵⃗
2. A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0 𝑚/𝑠.
a. At what time will the ball reach its maximum height?
b. What will be the maximum height of the ball’s trajectory?
c. How far will the ball travel horizontally when it reaches the maximum height of its flight?
The position vector of a butterfly that is flying parallel to the ground is given as a function of time by 𝑟⃑= [2.90 𝑚 + (0.0900 𝑚/𝑠^2)𝑡^2]𝑖̂ − (0.0150 𝑚/𝑠^3)𝑡^3𝑗̂
a. At what value of 𝑡 does the velocity vector of the insect make an angle 30.0° clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the acceleration vector of the insect?
Find the instantaneous velocity at time 𝑡1=1.0 𝑠 using the equation 𝑥=20 𝑚+(5.0𝑚/𝑠^2)𝑡^2 during the time interval between t1=1.0 s and t2=2.0 s
Determine the electrical force of attraction between two balloons that are charged with the opposite type of charge but the same quantity of charge. The charge on the balloons is 6.6 x 10^-5 C and they are separated by a distance of 150 cm.
